Sampling distributions quiz

• Sample standard deviation

• Standard deviation of sampling distribution of sample means

• Population standard deviation

• Standard deviation of sampling distribution of sample proportion

Name this symbol:

• Sample mean

• Mean of sampling distribution of sample means

• Population mean

• Sample mean of sampling distribution of sample means

Name this symbol:

• Population proportion

• Proportion of sampling distribution of sample means

• Sample proportion

• Standard deviation of sampling distribution of sample proportion

• Mean of sampling distribution of sample proportion

3 Sampling distributions were created with 3 different sample sizes of 10, 50, and 100. Which sampling distribution goes with which sample size?

• Curve 1: 10

  Curve 2: 50

  Curve 3: 100

• Curve 1: 50

  Curve 2: 10

  Curve 3: 100

• Curve 1: 100

  Curve 2: 50

  Curve 3: 10

• Curve 1: 10

  Curve 2: 100

  Curve 3: 50

The sampling distribution of a statistic is shown which has a mean of 4.5. The population parameter is 4.5. Is the statistic an unbiased estimator?

• Yes because the mean of the sampling distribution is equal to the parameter

• Yes because sampling distribution is skewed right

• No because the sampling distribution is skewed right

• No because there is a lot of variability in the sampling distribution

If a statistic is a good estimator of the parameter it must (select all that apply):

• Have little to no bias

• Its sampling distribution must be symmetrical

• Its sampling distribution must be normal

• Have low variability

• $81,800

• $7,899

• $78,945

• $8,199

• None of the above

You wanted to know the average teacher salary at Richard Montgomery. You ask 30 teachers and found the average was $78,945 and the sample varies from that by about $7,899. You later find out that the true average was $81,800 and varies from the mean by about $8,199. Which one represents s?

• $81,800

• $7,899

• $78,945

• $8,199

• None of the above

Not on the quiz: Which of the following conditions must be checked if doing a probability problem involving sampling distribution of sample proportions? Select all that apply.

• Is it a simple random sample from the population of interest?

• Is the distribution normal?

• Large counts condition (np and n(1-p) are both > 10)

• 10% condition

The mean of sampling distribution of sample proportions is given by what symbol?

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